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Simplifying 4x = 3x(4 + -3x) 4x = (4 * 3x + -3x * 3x) 4x = (12x + -9x2) Solving 4x = 12x + -9x2 Solving for variable 'x'. Combine like terms: 4x + -12x = -8x -8x + 9x2 = 12x + -9x2 + -12x + 9x2 Reorder the terms: -8x + 9x2 = 12x + -12x + -9x2 + 9x2 Combine like terms: 12x + -12x = 0 -8x + 9x2 = 0 + -9x2 + 9x2 -8x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 -8x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 9x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-8 + 9x)' equal to zero and attempt to solve: Simplifying -8 + 9x = 0 Solving -8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 0 + 8 9x = 0 + 8 Combine like terms: 0 + 8 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {0, 0.8888888889}
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